Lp-independence of spectral bounds of generalized non-local Feynman–Kac semigroups

Let X be a symmetric strong Markov process on a Luzin space. In this paper, we present criteria of the Lp-independence of spectral bounds for generalized non-local Feynman–Kac semigroups of X that involve continuous additive functionals of X having zero quadratic variations and discontinuous additive functionals of X. © 2012 Elsevier Inc. All rights reserved.